556550820 has 216 divisors, whose sum is σ = 1988695800. Its totient is φ = 125604864.

The previous prime is 556550801. The next prime is 556550873. The reversal of 556550820 is 28055655.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 555167844 = 1176^2 + 23562^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 784626 + ... + 785334.

It is an arithmetic number, because the mean of its divisors is an integer number (9206925).

Almost surely, 2^556550820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556550820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994347900).

556550820 is an abundant number, since it is smaller than the sum of its proper divisors (1432144980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

556550820 is a wasteful number, since it uses less digits than its factorization.

556550820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 556550820 is about 23591.3293393993. The cubic root of 556550820 is about 822.5613052238.

The spelling of 556550820 in words is "five hundred fifty-six million, five hundred fifty thousand, eight hundred twenty".